# What are we learning ?

**Competency in Focus:**Calculating the limit of the function This problem from I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2016 is based on simple manipulations and limit of a function .

# First look at the knowledge graph.

# Next understand the problem

##### Source of the problem

##### Key Competency

##### Difficulty Level

##### Suggested Book

# Start with hints

So , what we have to find in general the value of g(y) in terms of y given that \(g(y)=\lim_{x \rightarrow \infty} \frac{f(xy)}{x^3}\) provided \(g(y)=\lim_{x \rightarrow \infty} \frac{f(xy)}{x^3}\) exists .

See what can we do is that g(y) can be written as follows , \(g(y)=\lim_{x \rightarrow \infty} \frac{f(xy)}{x^3}=

(y^3)\lim_{x \rightarrow \infty} \frac{f(xy)}{x^3y^3} \)

# Connected Program at Cheenta

# I.S.I. & C.M.I. Entrance Program

Indian Statistical Institute and Chennai Mathematical Institute offer challenging bachelor’s program for gifted students. These courses are B.Stat and B.Math program in I.S.I., B.Sc. Math in C.M.I.

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